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Math Help - Setting the domain and range of a line

  1. #1
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    Setting the domain and range of a line

    I am doing a math project when I am drawing with conics (and lines as well) to make a picture.

    I have a question about setting the domain and range of a line segment.

    Since the domain and range of a line are generally infinite, I cannot use that for my project, so I must specify an equation for the line I am drawing along with a domain and range to cut off part of that line so only what I want is left.

    If I want a line that goes from points (-7, -14) to (-4, 14) what would be the domain and range of that line?

    I know the equation would be y = -14 but I'm not sure about setting the domain and range for that.

    Sorry if it's a simple problem!

    Also please tell me WHY so I can do it for the rest of my problems.

    THANKS!
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  2. #2
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    Quote Originally Posted by qcom View Post
    I am doing a math project when I am drawing with conics (and lines as well) to make a picture.

    I have a question about setting the domain and range of a line segment.

    Since the domain and range of a line are generally infinite, I cannot use that for my project, so I must specify an equation for the line I am drawing along with a domain and range to cut off part of that line so only what I want is left.

    If I want a line that goes from points (-7, -14) to (-4, 14) what would be the domain and range of that line?

    I know the equation would be y = -14 but I'm not sure about setting the domain and range for that.

    Sorry if it's a simple problem!

    Also please tell me WHY so I can do it for the rest of my problems.

    THANKS!
    Dear qcom,

    I think your equation of the line is incorrect.

    The correct line would be, \frac{y-14}{x-(-4)}=\frac{14-(-14)}{-4-(-7)}

    y=\frac{28}{3}x+\frac{154}{3}

    Now since you want it from (-7, -14) to (-4, 14),

    Domain = [-7,-4]

    Range = [-14,14]

    Hope this will help you.
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